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Cozio Defense and Reverse Grand Prix Attack Games

Hello- at my last tournament there were two questionable games I played that I'm wondering about. I played black in both.
The first one is in a d3 Cozio Defense, and I think my position was OK in the opening but I think I was slipping a little in the middlegame (lacking a plan) and at the beginning of endgame. But I managed to stir up some counterplay and win.
The second game my opponent plays a d3 English, and I'm in a Reverse Grand Prix Attack. I hadn't been booked up that much or gotten that much playing experience in this variation, so my 6-15 moves weren't very good and they led to my downfall. Here are the games and some comments of mine:

lichess.org/study/4MBTfGn3/TjZHjrFG#0
lichess.org/study/4MBTfGn3/70QzOw8I#0

I'm wondering, what types of plans should I have done in these games? What are the development plans for the black pieces? What were some of my key mistakes?

Thanks, Happy Checkmating!
FAJTV
In the 1st game, there is no need to book up. The aim of the Cozio defence is to avoid having to book up. The move 6 d3 is harmless. I do not see the point of 8...Re8. What is the rook going to do there? It autopins your Nc6. 8...a6 is better. If he retreats 9 Ba4, then you can win the bishop's pair with 9...b5 and 10...Na5 if you want. That is one reason for people to play 8 c3 instead of 8 d3.
I would not say 11...Bh8 is wrong, but 11...f5 or 11...Rf8 seems better. You do not need to fear the trading of his good bishop not on the color of his pawns for your bad bishop on the color of your pawns. It is different in positions like the Sicilian Dragon Defence, where white plays O-O-O and threatens h4. Then Bh8 is indicated. Maybe this was the point of your 8...Re8: avoiding trade of your Bg7? 14...f5 seems optimistic. Would not you prefer your rook on f8 instead of e8 now?

In the 2nd game 8...e4 looks interesting: if 9 dxe4 then 9...Bxc3 with 10...Nxe4 to follow.
@tpr My idea with Re8 was to be anticipating d4. If he plays it, I can capture the pawn, opening both my rook and dark bishop, and I can preserve the dark bishop with Bh8 if need be. But now that I look at it, Re8 probably wasn't needed. If I keep it there (say, with 8...a6; also I can't play Na5 because his queen guards a5) and allow him to exchange my g7 bishop, when d4 comes I can just let him take my e5 pawn and I'm ok, putting some of my other pawns on dark squares.
(Game 2)

I most of the times take on c3 after 0-0, as White probably won't play a3 without protecting the knight further. The plan I go for then is to put the Queen on h5 via e8, play f4, Bh3, Ng4 , sac sac mate ...hopefully...
In my opinion knowing an opening isn't really about learning by heart 15 different lines, it's about having in mind the possible plans you can go for depending on what your opponent does.
You had the same problem in these 2 games, you had no idea what to do after the opening so you just made very passive moves. It wasn't a huge deal in the first game, because your set-up was already very passive and solid and white was unable to exploit your lack of play.
However in the second game you played very agressively in the opening and weakened your position, and once you started to play passively again white exploited the weaknesses you created. When you play agressively in the opening you have to create threats and push for the victory, I think you should have aimed for an e4 pawn break at some point. If you don't feel comfortable with attacking play I would suggest a much more careful opening against the English.
I think 14 f4 is where things really fell apart for you, you collapsed your pawn structure and gave white a lot of attack openings, opening their bishop diagonals and surrendering control of two lanes while giving up a pawn.

I think at that point you would've been better off with h5, preparing for a pawn advance to h4, and then taking with the Knight on h4. That puts you in great position to attack their King and leaves them few good options while opening the g lane, making the King even more vulnerable.

If 14 h4 h5 then you can go 15 kn g4, threatening a fork on e3 if the f3 pawn is moved to attack the knight. While advancing the h7 pawn does make the g6 knight a bit vulnerable to the Queen, there are still two pawns in between, and it forces white to break the pawn structure just to try and get the knight, allowing you to advance pawns or buying you time to attack their King.

So at move 14 you still had good options to put them on the defensive, you just used the wrong pawn to advance.

Note also your wasted 17 f7 move. Without 18 h6 to protect against the knight advance, your whole defense fell apart at this point. Once your pawn structure weakened on move 14 you were in trouble either way though.

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